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Finding the Fourth Proportional to 8,196.80, 11,312.60 and 5,009.44

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Solution

The fourth proportional to 8,196.80, 11,312.60 and 5,009.44 is: 6,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.80 : 11,312.60 = 5,009.44 : x
  2. Step 2: Convert to fraction form
    8,196.80/11,312.60 = 5,009.44/x
  3. Step 3: Cross multiply
    8,196.80x = 11,312.60 × 5,009.44
  4. Step 4: Simplify right side
    8,196.80x = 56,669,790.94
  5. Step 5: Solve for x
    x = 56,669,790.94/8,196.80
  6. Step 6: Final answer
    x = 6,913.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.